Recent papers

Complete list of publications

Published or to appear

 

• S. Bertoluzza, M. Pennacchio, D. Prada, BDDC and FETI-DP for the Virtual Element Method,  http://arxiv.org/abs/1708.03599
• M.G. Albanesi, R. Amadeo, S. Bertoluzza, G. Maggi, A New Class of Wavelet Based Metrics for Image Similarity Assessment, Journal of Mathematical Imaging and Vision, to appear (2017) DOI: 10.1007/s10851-017-0745-1
• S. Bertoluzza, V. Perrier, A new construction of boundary interpolating wavelets for fourth order problems, ACAP, to appear, (2017) DOI: 10.1007/s10440-017-0110-9
• S. Bertoluzza, A. Decoene, L. Lacouture, S. Martin, Local error estimates of the finite element method for an elliptic problem with a Dirac source term, NMPDE, to appear, (2017) DOI: 10.1002/num.22186
• S. Bertoluzza, V. Chabannes, C. Prud'homme, M. Szopos, Boundary conditions involving pressure for the Stokes problem with applications in computational haemodynamics, CMAME, 322, 58--80 (2017) 
• S. Bertoluzza, M. Pennacchio, C. Prud'homme, A. Samake, Substructuring preconditioners for h-p mortar FEM, M2AN 50(4), (2016)
• S. Bertoluzza, Analysis of a mesh dependent stabilization for the three fields domain decomposition method, Numer. Math. 133(1) (2016)
• S. Bertoluzza, S. Del Pino, E. Labourasse, A conservative slide lines method for cell-centered semi-lagrangian and ALE schemes in 2D, M2AN 50(1), (2015)
• P. Antonietti, B. Ayuso, S. Bertoluzza, M. Pennacchio, Substructuring pre-
  conditioners for an h-p domain decomposition method with Interior Penalty mortaring,Calcolo 52(3), (2015)
• A. Samake, S. Bertoluzza, M. Pennacchio, C. Prud'homme, C. Zaza, A parallel implementation of the Mortar Method in 2D and 3D, ESAIM: Preceedings 43, 213--224 (2013).
• S. Bertoluzza, G. Maggi, S. Tomatis, A Modular Registration Algorithm for Medical
  Images, in Image Analysis and Recognition, Lecture Notes in Computer Science 7950, 467--474 (2013).
• S. Bertoluzza, Domain decomposition strategies with black box subdomain solvers. In Advances in Mathematical and Computational Methods: Addressing Modern Challenges of Science, Technology and Society, AIP Conference Proceedings 1368 (2011).
• S. Bertoluzza, S. Falletta, Analysis of some injection bounds for Sobolev spaces by wavelet decomposition, Comptes Rendus - Mathématique 349 (2011).
• A.J.M. Ferreira, L.M. Castro, C.M.C. Roque, Reddy J.N., S. Bertoluzza, Buckling analysis of laminated plates by wavelets, Computers and structures, 89 (2011).
• A.J.M. Ferreira, L.M. Castro, S. Bertoluzza, A wavelet collocation approach for the analysis of laminated shells, Composites: Part B, 42(1) (2011)
• S. Bertoluzza, M. Ismail, B. Maury, Analysis of the fully discrete Fat Boundary Method, Numer. Math. 118(1), (2011). Download PDF
• A.J.M. Ferreira, L.M. Castro, S. Bertoluzza, Analysis of plates on Winkler foundation by wavelet collocation, Meccanica, 46(4), (2011).
• L. Castro, A.J.M. Ferreira, S. Bertoluzza, R.C. Batra, J.N. Reddy, A wavelet collocation method for the static analysis of sandwich plates using a layerwise theory, Composite Structures, 92(8), (2010)
• L. Castro, A.J.M. Ferreira, S. Bertoluzza, An high order collocation method for the static and vibration analysis of composite plates using a first-order theory, Composite Structures, 89(3), (2009)
• S. Bertoluzza, S. Falletta, G.M. Manzini, Effcient design of residual based stabilization techniques for the three .fields domain decomposition method, M3AS, 18(7) (2008). Download PDF
• S. Bertoluzza, F. Brezzi, G. Sangalli. The method of mothers for non-overlapping, non-matching DDM, Numer. Math., 107(3) (2007). Download PDF
• S. Bertoluzza, M. Pennacchio, Analysis of substructuring preconditioners for Mortar methods in an Abstract Framework, Appl. Math. Lett., 20(2), (2007). Download PDF
• S. Bertoluzza, Local boundary estimates for the Lagrange Multiplier discretization of Dirichlet BVP with applications to domain decomposition, Calcolo 43(3), (2006). Download PDF
• S. Bertoluzza, S. Falletta, V. Perrier, Implementation of the Mortar Method in the Wavelet context, Jour. of Sci. Comp., 29(2) (2006). Download PDF

Books

• Multiscale and Adaptivity: Modeling, Numerics and Applications, S. Bertoluzza, R. Nochetto, A. Quarteroni, K.G. Siebert, A. Veeser, Lecture Notes in Mathematics
  2040, Springer-Verlag, Berlin Heidelberg (2012).
• Numerical Solution of Partial Differential Equations, S. Bertoluzza, S. Falletta, G. Russo, C.-W. Shu, Advanced Courses in Mathematics CRM Barcelona, Birkhauser, Basel, (2009).

 

Technical Report

• S. Bertoluzza, S. Falletta, The mortar method with approximate constraint: a fexible tool for coupling hetherogeneous discretizations, collana "La matematica e le sue applicazioni", Politecnico di Torino, n.12 anno 2010
• S. Bertoluzza, L. Castro, Adaptive wavelet collocation for plane elasticity problem, Pubbl. IMATI n. 26PV08/23/0 (2008)
• S. Bertoluzza, G. Iovane, Approximation and super-approximation properties of weakly local spaces, Pubbl. IMATI n. 25PV08/22/0 (2008)

 

 

Updated: Gennaio 2015